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Finding the Fourth Proportional to 232.29, 319.82 and 176.85

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Solution

The fourth proportional to 232.29, 319.82 and 176.85 is: 243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 319.82 = 176.85 : x
  2. Step 2: Convert to fraction form
    232.29/319.82 = 176.85/x
  3. Step 3: Cross multiply
    232.29x = 319.82 × 176.85
  4. Step 4: Simplify right side
    232.29x = 56,559.01
  5. Step 5: Solve for x
    x = 56,559.01/232.29
  6. Step 6: Final answer
    x = 243.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.